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Title: Chiral extrapolation of the leading hadronic contribution to the muon anomalous magnetic moment

Authors:
; ;
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
1351686
Grant/Contract Number:
FG03-92ER40711
Resource Type:
Journal Article: Publisher's Accepted Manuscript
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 95; Journal Issue: 7; Related Information: CHORUS Timestamp: 2017-04-14 22:10:05; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English

Citation Formats

Golterman, Maarten, Maltman, Kim, and Peris, Santiago. Chiral extrapolation of the leading hadronic contribution to the muon anomalous magnetic moment. United States: N. p., 2017. Web. doi:10.1103/PhysRevD.95.074509.
Golterman, Maarten, Maltman, Kim, & Peris, Santiago. Chiral extrapolation of the leading hadronic contribution to the muon anomalous magnetic moment. United States. doi:10.1103/PhysRevD.95.074509.
Golterman, Maarten, Maltman, Kim, and Peris, Santiago. Fri . "Chiral extrapolation of the leading hadronic contribution to the muon anomalous magnetic moment". United States. doi:10.1103/PhysRevD.95.074509.
@article{osti_1351686,
title = {Chiral extrapolation of the leading hadronic contribution to the muon anomalous magnetic moment},
author = {Golterman, Maarten and Maltman, Kim and Peris, Santiago},
abstractNote = {},
doi = {10.1103/PhysRevD.95.074509},
journal = {Physical Review D},
number = 7,
volume = 95,
place = {United States},
year = {Fri Apr 14 00:00:00 EDT 2017},
month = {Fri Apr 14 00:00:00 EDT 2017}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1103/PhysRevD.95.074509

Citation Metrics:
Cited by: 2works
Citation information provided by
Web of Science

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  • We present a lattice calculation of the hadronic vacuum polarization and the lowest order hadronic contribution (HLO) to the muon anomalous magnetic moment, a{sub {mu}}=(g-2)/2, using 2+1 flavors of improved staggered fermions. A precise fit to the low-q{sup 2} region of the vacuum polarization is necessary to accurately extract the muon g-2. To obtain this fit, we use staggered chiral perturbation theory, including a model to incorporate the vector particles as resonances, and compare these to polynomial fits to the lattice data. We discuss the fit results and associated systematic uncertainties, paying particular attention to the relative contributions of themore » pions and vector mesons. Using a single lattice spacing ensemble generated by the MILC Collaboration (a=0.086 fm), light quark masses as small as roughly one-tenth the strange quark mass, and volumes as large as (3.4 fm){sup 3}, we find a{sub {mu}}{sup HLO}=(713{+-}15)x10{sup -10} and (748{+-}21)x10{sup -10} where the error is statistical only and the two values correspond to linear and quadratic extrapolations in the light quark mass, respectively. Considering various systematic uncertainties not eliminated in this study (including a model of vector resonances used to fit the lattice data and the omission of disconnected quark contractions in the vector-vector correlation function), we view this as agreement with the current best calculations using the experimental cross section for e{sup +}e{sup -} annihilation to hadrons (692.4{+-}5.9{+-}2.4)x10{sup -10}, and including the experimental decay rate of the tau lepton to hadrons (711.0{+-}5.0{+-}0.8{+-}2.8)x10{sup -10}. We discuss several ways to improve the current lattice calculation.« less
  • We present a four-flavour lattice calculation of the leading-order hadronic vacuum polarisation contribution to the anomalous magnetic moment of the muon, aμ hvp, arising from quark-connected Feynman graphs. It is based on ensembles featuring N f=2+1+1 dynamical twisted mass fermions generated by the European Twisted Mass Collaboration (ETMC). Several light quark masses are used in order to yield a controlled extrapolation to the physical pion mass. We employ three lattice spacings to examine lattice artefacts and several different volumes to check for finite-size effects. Including the complete first two generations of quarks allows for a direct comparison with phenomenological determinationsmore » of a μ hvp. The final result involving an estimate of the systematic uncertainty a μ hvp=6.74 (21)(18) 10 -8 shows a good overall agreement with these computations.« less
  • We report a lattice QCD calculation of the hadronic light-by-light contribution to the muon anomalous magnetic moment at a physical pion mass. The calculation includes the connected diagrams and the leading, quark-line-disconnected diagrams. We incorporate algorithmic improvements developed in our previous work. The calculation was performed on the 48 3 × 96 ensemble generated with a physical pion mass and a 5.5 fm spatial extent by the RBC and UKQCD Collaborations using the chiral, domain wall fermion formulation. We find a HLbL μ = 5.35(1.35) × 10 –10, where the error is statistical only. The finite-volume and finite lattice-spacing errorsmore » could be quite large and are the subject of ongoing research. Finally, the omitted disconnected graphs, while expected to give a correction of order 10%, also need to be computed.« less